特定偶数的哥猜数

yangchuanju · 发表于 2022-8-22 12:35

偶数哥猜数 mod 10 素数对模余数类型素数对个数
30000 602 0 1+9 3+7 299 303
30002 261 2 1+1 3+9 89 172
30004 258 4 1+3 7+7 171 87
30006 460 6 3+3 7+9 154 306
30008 238 8 1+7 9+9 162 76
30010 316 0 1+9 3+7 150 166
30012 469 2 1+1 3+9 157 312
30014 231 4 1+3 7+7 153 78
30016 290 6 3+3 7+9 96 193（另有5+1型1对）
30018 462 8 1+7 9+9 296 165（另有3+5型1对）
30020 318 0 1+9 3+7 149 169
30022 240 2 1+1 3+9 83 157
30024 470 4 1+3 7+7 310 160
30026 223 6 3+3 7+9 75 148
30028 237 8 1+7 9+9 159 78
30030 905 0 1+9 3+7 446 459

yangchuanju · 发表于 2022-8-22 13:13

重生888@ 发表于 2022-8-22 04:13
杨先生4021个素数对，是由以下三种形式组成的，且大致一样多：
30n+11+30m+13=A ( 197753=6 ...

对于某些类型的模余数，确实有重生（吴代业）所说的不同类型余数的素数对数A约等于B的现象，但不是普遍规律；另有一些余数类型的素数对数相差极远，没有什么等于或约等于的关系。

重生888@ · 发表于 2022-8-22 15:48

30004一个是89，一个是176       30n+31+30m+31    是对称重复的，89*2=178、
30000有四种‘
30002  30004 300+（8  14  16  22  26  28）有两种
30006  300+（12  18  24）有三种
30010  30020有两种！’
30026       75    148       75*2=150    （是对称重复引起的）

重生888@ · 发表于 2022-8-23 05:53

本帖最后由重生888@ 于 2022-8-23 05:55 编辑

不要总把你的“认识”强加于别人！
差矣！我为何要把自己的意志强加于您？ 7+7=7+7 31+31=31+31 素数对是两个，实际是一个，（也是哈-李双计的原因）我为什么有乘以1.5？对称重复蛮！
希望杨先生能理解，谢谢！

重生888@ · 发表于 2022-8-23 17:28

希望杨先生恢复，谢谢！

yangchuanju · 发表于 2022-8-23 19:16

重生888@ 发表于 2022-8-23 05:53
不要总把你的“认识”强加于别人！
差矣！我为何要把自己的意志强加于您？ 7+7=7+7 31+31=31+3 ...

如果按模2余数分类，只有一种1+1型，模2余0；
余数类型1+1的素数对数就是该偶数的素数对数（哥猜数）。

如果按模4余数分类，共有2种类型：1+1、3+3和1+3、3+1型，即模4余2和0型；
对于模4余2的偶数，余数类型1+1和3+3的素数对数可能一样多；
对于模4余0的偶数，余数类型1+3和3+1的素数对数也可能一样多；
但不一样多的肯定也相当多，怎么可以归纳成A=B呢？
下面对30000-30030中的16个偶数的素数对分别统计如下，只能说大致相等，实际上就根本不相等：
偶数哥猜数 mod 4 素数对模余数类型素数对个数
30000 602 0 1+3 3+1 300 302
30002 261 2 1+1 3+3 127 134
30004 258 0 1+3 3+1 128 130
30006 460 2 1+1 3+3 221 239
30008 238 0 1+3 3+1 123 115
30010 316 2 1+1 3+3 159 157
30012 469 0 1+3 3+1 233 236
30014 231 2 1+1 3+3 113 118
30016 290 0 1+3 3+1 141 149
30018 462 2 1+1 3+3 233 229
30020 318 0 1+3 3+1 165 153
30022 240 2 1+1 3+3 122 118
30024 470 0 1+3 3+1 233 237
30026 223 2 1+1 3+3 98 125
30028 237 0 1+3 3+1 114 123
30030 905 2 1+1 3+3 453 452

yangchuanju · 发表于 2022-8-23 19:17

如果按模6余数分类，可有6种类型：1+1、1+3、1+5、3+3、3+5和5+5，模6余2、4和0；
实际上模6余3的素数只有一个3，含3的素数对或许有一个，或许没有，忽略不计，还剩1+1、1+5、5+1、5+5几种类型。
下面对30000-30030中的16个偶数的素数对分别统计如下，只能说大致相等，实际上就根本不相等：
偶数哥猜数 mod 6 素数对模余数类型素数对个数
30000 602 0 1+5 5+1 295 307
30002 261 2 1+1 3+5 261 0
30004 258 4 5+5 1+3 258 0
30006 460 0 1+5 5+1 233 227
30008 238 2 1+1 3+5 238 0
30010 316 4 5+5 1+3 316 0
30012 469 0 1+5 5+1 226 243
30014 231 2 1+1 3+5 230 1
30016 290 4 5+5 1+3 289 1
30018 462 0 1+5 5+1 235 227
30020 318 2 1+1 3+5 318 0
30022 240 4 5+5 1+3 240 0
30024 470 0 1+5 5+1 232 238
30026 223 2 1+1 3+5 233 0
30028 237 4 5+5 1+3 237 0
30030 905 0 1+5 5+1 453 452

yangchuanju · 发表于 2022-8-23 19:17

吴代业（重生）先生，别再抱着您的A=B, A=B=C不放啦！
对于30004中的素数对数171+87=258，硬要把87乘以2，还说是A=B，真是毫无道理！
为便于吴先生分析，下面把30000-30030间的16个偶数的素数对构成逐个公示如后。

yangchuanju · 发表于 2022-8-23 19:19

n(is a even number)=30000
1,n= 11 + 29989
2,n= 17 + 29983
3,n= 41 + 29959
4,n= 53 + 29947
5,n= 73 + 29927
6,n= 79 + 29921
7,n= 83 + 29917
8,n= 127 + 29873
9,n= 137 + 29863
10,n= 149 + 29851
11,n= 163 + 29837
12,n= 167 + 29833
13,n= 181 + 29819
14,n= 197 + 29803
15,n= 211 + 29789
16,n= 239 + 29761
17,n= 241 + 29759
18,n= 277 + 29723
19,n= 283 + 29717
20,n= 317 + 29683
21,n= 331 + 29669
22,n= 337 + 29663
23,n= 359 + 29641
24,n= 367 + 29633
25,n= 389 + 29611
26,n= 401 + 29599
27,n= 419 + 29581
28,n= 431 + 29569
29,n= 433 + 29567
30,n= 463 + 29537
31,n= 499 + 29501
32,n= 547 + 29453
33,n= 557 + 29443
34,n= 563 + 29437
35,n= 571 + 29429
36,n= 577 + 29423
37,n= 599 + 29401
38,n= 601 + 29399
39,n= 613 + 29387
40,n= 617 + 29383
41,n= 653 + 29347
42,n= 661 + 29339
43,n= 673 + 29327
44,n= 757 + 29243
45,n= 769 + 29231
46,n= 809 + 29191
47,n= 821 + 29179
48,n= 827 + 29173
49,n= 853 + 29147
50,n= 863 + 29137
51,n= 877 + 29123
52,n= 937 + 29063
53,n= 941 + 29059
54,n= 967 + 29033
55,n= 977 + 29023
56,n= 983 + 29017
57,n= 991 + 29009
58,n= 1021 + 28979
59,n= 1039 + 28961
60,n= 1051 + 28949
61,n= 1091 + 28909
62,n= 1129 + 28871
63,n= 1163 + 28837
64,n= 1187 + 28813
65,n= 1193 + 28807
66,n= 1229 + 28771
67,n= 1249 + 28751
68,n= 1277 + 28723
69,n= 1289 + 28711
70,n= 1297 + 28703
71,n= 1303 + 28697
72,n= 1373 + 28627
73,n= 1381 + 28619
74,n= 1409 + 28591
75,n= 1427 + 28573
76,n= 1429 + 28571
77,n= 1451 + 28549
78,n= 1453 + 28547
79,n= 1459 + 28541
80,n= 1483 + 28517
81,n= 1487 + 28513
82,n= 1523 + 28477
83,n= 1553 + 28447
84,n= 1567 + 28433
85,n= 1571 + 28429
86,n= 1597 + 28403
87,n= 1607 + 28393
88,n= 1613 + 28387
89,n= 1693 + 28307
90,n= 1721 + 28279
91,n= 1723 + 28277
92,n= 1789 + 28211
93,n= 1877 + 28123
94,n= 1889 + 28111
95,n= 1901 + 28099
96,n= 1913 + 28087
97,n= 1931 + 28069
98,n= 1949 + 28051
99,n= 1973 + 28027
100,n= 1999 + 28001
101,n= 2003 + 27997
102,n= 2017 + 27983
103,n= 2039 + 27961
104,n= 2053 + 27947
105,n= 2081 + 27919
106,n= 2083 + 27917
107,n= 2099 + 27901
108,n= 2153 + 27847
109,n= 2207 + 27793
110,n= 2221 + 27779
111,n= 2237 + 27763
112,n= 2251 + 27749
113,n= 2267 + 27733
114,n= 2309 + 27691
115,n= 2311 + 27689
116,n= 2347 + 27653
117,n= 2383 + 27617
118,n= 2389 + 27611
119,n= 2417 + 27583
120,n= 2459 + 27541
121,n= 2473 + 27527
122,n= 2521 + 27479
123,n= 2543 + 27457
124,n= 2551 + 27449
125,n= 2591 + 27409
126,n= 2593 + 27407
127,n= 2633 + 27367
128,n= 2663 + 27337
129,n= 2671 + 27329
130,n= 2719 + 27281
131,n= 2729 + 27271
132,n= 2741 + 27259
133,n= 2789 + 27211
134,n= 2803 + 27197
135,n= 2857 + 27143
136,n= 2897 + 27103
137,n= 2909 + 27091
138,n= 2927 + 27073
139,n= 2939 + 27061
140,n= 2957 + 27043
141,n= 2969 + 27031
142,n= 3019 + 26981
143,n= 3041 + 26959
144,n= 3049 + 26951
145,n= 3079 + 26921
146,n= 3109 + 26891
147,n= 3119 + 26881
148,n= 3121 + 26879
149,n= 3137 + 26863
150,n= 3167 + 26833
151,n= 3187 + 26813
152,n= 3217 + 26783
153,n= 3271 + 26729
154,n= 3299 + 26701
155,n= 3301 + 26699
156,n= 3307 + 26693
157,n= 3313 + 26687
158,n= 3319 + 26681
159,n= 3331 + 26669
160,n= 3359 + 26641
161,n= 3373 + 26627
162,n= 3461 + 26539
163,n= 3499 + 26501
164,n= 3511 + 26489
165,n= 3541 + 26459
166,n= 3583 + 26417
167,n= 3593 + 26407
168,n= 3607 + 26393
169,n= 3613 + 26387
170,n= 3643 + 26357
171,n= 3691 + 26309
172,n= 3733 + 26267
173,n= 3739 + 26261
174,n= 3797 + 26203
175,n= 3823 + 26177
176,n= 3847 + 26153
177,n= 3881 + 26119
178,n= 3889 + 26111
179,n= 3917 + 26083
180,n= 3947 + 26053
181,n= 4001 + 25999
182,n= 4003 + 25997
183,n= 4019 + 25981
184,n= 4049 + 25951
185,n= 4057 + 25943
186,n= 4111 + 25889
187,n= 4127 + 25873
188,n= 4133 + 25867
189,n= 4153 + 25847
190,n= 4159 + 25841
191,n= 4201 + 25799
192,n= 4229 + 25771
193,n= 4241 + 25759
194,n= 4253 + 25747
195,n= 4259 + 25741
196,n= 4283 + 25717
197,n= 4297 + 25703
198,n= 4327 + 25673
199,n= 4357 + 25643
200,n= 4391 + 25609
201,n= 4397 + 25603
202,n= 4421 + 25579
203,n= 4423 + 25577
204,n= 4463 + 25537
205,n= 4547 + 25453
206,n= 4561 + 25439
207,n= 4591 + 25409
208,n= 4643 + 25357
209,n= 4651 + 25349
210,n= 4657 + 25343
211,n= 4679 + 25321
212,n= 4691 + 25309
213,n= 4817 + 25183
214,n= 4831 + 25169
215,n= 4889 + 25111
216,n= 4903 + 25097
217,n= 4943 + 25057
218,n= 4967 + 25033
219,n= 4969 + 25031
220,n= 4987 + 25013
221,n= 5011 + 24989
222,n= 5021 + 24979
223,n= 5023 + 24977
224,n= 5077 + 24923
225,n= 5081 + 24919
226,n= 5153 + 24847
227,n= 5179 + 24821
228,n= 5233 + 24767
229,n= 5237 + 24763
230,n= 5303 + 24697
231,n= 5309 + 24691
232,n= 5323 + 24677
233,n= 5407 + 24593
234,n= 5449 + 24551
235,n= 5483 + 24517
236,n= 5501 + 24499
237,n= 5519 + 24481
238,n= 5527 + 24473
239,n= 5531 + 24469
240,n= 5557 + 24443
241,n= 5581 + 24419
242,n= 5641 + 24359
243,n= 5683 + 24317
244,n= 5749 + 24251
245,n= 5821 + 24179
246,n= 5849 + 24151
247,n= 5867 + 24133
248,n= 5879 + 24121
249,n= 5897 + 24103
250,n= 5903 + 24097
251,n= 5923 + 24077
252,n= 5939 + 24061
253,n= 5981 + 24019
254,n= 6007 + 23993
255,n= 6029 + 23971
256,n= 6043 + 23957
257,n= 6089 + 23911
258,n= 6091 + 23909
259,n= 6101 + 23899
260,n= 6113 + 23887
261,n= 6121 + 23879
262,n= 6131 + 23869
263,n= 6143 + 23857
264,n= 6173 + 23827
265,n= 6199 + 23801
266,n= 6211 + 23789
267,n= 6247 + 23753
268,n= 6257 + 23743
269,n= 6311 + 23689
270,n= 6323 + 23677
271,n= 6329 + 23671
272,n= 6337 + 23663
273,n= 6367 + 23633
274,n= 6373 + 23627
275,n= 6397 + 23603
276,n= 6451 + 23549
277,n= 6469 + 23531
278,n= 6491 + 23509
279,n= 6553 + 23447
280,n= 6569 + 23431
281,n= 6661 + 23339
282,n= 6673 + 23327
283,n= 6679 + 23321
284,n= 6689 + 23311
285,n= 6703 + 23297
286,n= 6709 + 23291
287,n= 6791 + 23209
288,n= 6803 + 23197
289,n= 6827 + 23173
290,n= 6833 + 23167
291,n= 6841 + 23159
292,n= 6857 + 23143
293,n= 6869 + 23131
294,n= 6883 + 23117
295,n= 6947 + 23053
296,n= 6959 + 23041
297,n= 6961 + 23039
298,n= 6971 + 23029
299,n= 6983 + 23017
300,n= 6997 + 23003
301,n= 7027 + 22973
302,n= 7039 + 22961
303,n= 7057 + 22943
304,n= 7079 + 22921
305,n= 7129 + 22871
306,n= 7193 + 22807
307,n= 7213 + 22787
308,n= 7283 + 22717
309,n= 7309 + 22691
310,n= 7321 + 22679
311,n= 7331 + 22669
312,n= 7349 + 22651
313,n= 7433 + 22567
314,n= 7451 + 22549
315,n= 7457 + 22543
316,n= 7459 + 22541
317,n= 7489 + 22511
318,n= 7499 + 22501
319,n= 7517 + 22483
320,n= 7547 + 22453
321,n= 7559 + 22441
322,n= 7591 + 22409
323,n= 7603 + 22397
324,n= 7717 + 22283
325,n= 7723 + 22277
326,n= 7727 + 22273
327,n= 7741 + 22259
328,n= 7753 + 22247
329,n= 7829 + 22171
330,n= 7841 + 22159
331,n= 7853 + 22147
332,n= 7867 + 22133
333,n= 7877 + 22123
334,n= 7907 + 22093
335,n= 7927 + 22073
336,n= 7933 + 22067
337,n= 7937 + 22063
338,n= 7949 + 22051
339,n= 7963 + 22037
340,n= 8009 + 21991
341,n= 8039 + 21961
342,n= 8089 + 21911
343,n= 8161 + 21839
344,n= 8179 + 21821
345,n= 8233 + 21767
346,n= 8243 + 21757
347,n= 8263 + 21737
348,n= 8273 + 21727
349,n= 8287 + 21713
350,n= 8317 + 21683
351,n= 8353 + 21647
352,n= 8387 + 21613
353,n= 8389 + 21611
354,n= 8423 + 21577
355,n= 8431 + 21569
356,n= 8443 + 21557
357,n= 8501 + 21499
358,n= 8513 + 21487
359,n= 8581 + 21419
360,n= 8599 + 21401
361,n= 8609 + 21391
362,n= 8623 + 21377
363,n= 8677 + 21323
364,n= 8681 + 21319
365,n= 8731 + 21269
366,n= 8753 + 21247
367,n= 8779 + 21221
368,n= 8807 + 21193
369,n= 8821 + 21179
370,n= 8831 + 21169
371,n= 8837 + 21163
372,n= 8861 + 21139
373,n= 8893 + 21107
374,n= 8933 + 21067
375,n= 8941 + 21059
376,n= 8969 + 21031
377,n= 8999 + 21001
378,n= 9041 + 20959
379,n= 9103 + 20897
380,n= 9127 + 20873
381,n= 9151 + 20849
382,n= 9227 + 20773
383,n= 9241 + 20759
384,n= 9257 + 20743
385,n= 9281 + 20719
386,n= 9283 + 20717
387,n= 9293 + 20707
388,n= 9319 + 20681
389,n= 9337 + 20663
390,n= 9437 + 20563
391,n= 9467 + 20533
392,n= 9479 + 20521
393,n= 9491 + 20509
394,n= 9521 + 20479
395,n= 9601 + 20399
396,n= 9631 + 20369
397,n= 9643 + 20357
398,n= 9677 + 20323
399,n= 9739 + 20261
400,n= 9767 + 20233
401,n= 9769 + 20231
402,n= 9781 + 20219
403,n= 9817 + 20183
404,n= 9839 + 20161
405,n= 9851 + 20149
406,n= 9857 + 20143
407,n= 9871 + 20129
408,n= 9883 + 20117
409,n= 9887 + 20113
410,n= 9929 + 20071
411,n= 9949 + 20051
412,n= 10007 + 19993
413,n= 10009 + 19991
414,n= 10037 + 19963
415,n= 10039 + 19961
416,n= 10111 + 19889
417,n= 10133 + 19867
418,n= 10139 + 19861
419,n= 10159 + 19841
420,n= 10181 + 19819
421,n= 10223 + 19777
422,n= 10247 + 19753
423,n= 10273 + 19727
424,n= 10301 + 19699
425,n= 10303 + 19697
426,n= 10313 + 19687
427,n= 10391 + 19609
428,n= 10429 + 19571
429,n= 10457 + 19543
430,n= 10459 + 19541
431,n= 10499 + 19501
432,n= 10529 + 19471
433,n= 10531 + 19469
434,n= 10559 + 19441
435,n= 10567 + 19433
436,n= 10597 + 19403
437,n= 10613 + 19387
438,n= 10627 + 19373
439,n= 10667 + 19333
440,n= 10691 + 19309
441,n= 10711 + 19289
442,n= 10733 + 19267
443,n= 10781 + 19219
444,n= 10789 + 19211
445,n= 10837 + 19163
446,n= 10859 + 19141
447,n= 10861 + 19139
448,n= 10949 + 19051
449,n= 10987 + 19013
450,n= 11027 + 18973
451,n= 11083 + 18917
452,n= 11087 + 18913
453,n= 11131 + 18869
454,n= 11161 + 18839
455,n= 11197 + 18803
456,n= 11213 + 18787
457,n= 11243 + 18757
458,n= 11251 + 18749
459,n= 11257 + 18743
460,n= 11287 + 18713
461,n= 11299 + 18701
462,n= 11321 + 18679
463,n= 11329 + 18671
464,n= 11383 + 18617
465,n= 11447 + 18553
466,n= 11483 + 18517
467,n= 11497 + 18503
468,n= 11519 + 18481
469,n= 11549 + 18451
470,n= 11587 + 18413
471,n= 11621 + 18379
472,n= 11633 + 18367
473,n= 11689 + 18311
474,n= 11699 + 18301
475,n= 11731 + 18269
476,n= 11743 + 18257
477,n= 11777 + 18223
478,n= 11783 + 18217
479,n= 11789 + 18211
480,n= 11801 + 18199
481,n= 11831 + 18169
482,n= 11867 + 18133
483,n= 11903 + 18097
484,n= 11923 + 18077
485,n= 11939 + 18061
486,n= 11941 + 18059
487,n= 11953 + 18047
488,n= 11959 + 18041
489,n= 11987 + 18013
490,n= 12011 + 17989
491,n= 12041 + 17959
492,n= 12043 + 17957
493,n= 12071 + 17929
494,n= 12097 + 17903
495,n= 12109 + 17891
496,n= 12119 + 17881
497,n= 12149 + 17851
498,n= 12161 + 17839
499,n= 12163 + 17837
500,n= 12211 + 17789
501,n= 12239 + 17761
502,n= 12251 + 17749
503,n= 12253 + 17747
504,n= 12263 + 17737
505,n= 12343 + 17657
506,n= 12373 + 17627
507,n= 12377 + 17623
508,n= 12391 + 17609
509,n= 12401 + 17599
510,n= 12421 + 17579
511,n= 12491 + 17509
512,n= 12503 + 17497
513,n= 12511 + 17489
514,n= 12517 + 17483
515,n= 12569 + 17431
516,n= 12583 + 17417
517,n= 12611 + 17389
518,n= 12613 + 17387
519,n= 12641 + 17359
520,n= 12659 + 17341
521,n= 12743 + 17257
522,n= 12791 + 17209
523,n= 12809 + 17191
524,n= 12841 + 17159
525,n= 12893 + 17107
526,n= 12907 + 17093
527,n= 12923 + 17077
528,n= 12953 + 17047
529,n= 12959 + 17041
530,n= 12967 + 17033
531,n= 12973 + 17027
532,n= 12979 + 17021
533,n= 13007 + 16993
534,n= 13037 + 16963
535,n= 13063 + 16937
536,n= 13099 + 16901
537,n= 13121 + 16879
538,n= 13171 + 16829
539,n= 13177 + 16823
540,n= 13241 + 16759
541,n= 13259 + 16741
542,n= 13297 + 16703
543,n= 13309 + 16691
544,n= 13327 + 16673
545,n= 13339 + 16661
546,n= 13367 + 16633
547,n= 13381 + 16619
548,n= 13397 + 16603
549,n= 13513 + 16487
550,n= 13523 + 16477
551,n= 13553 + 16447
552,n= 13567 + 16433
553,n= 13619 + 16381
554,n= 13681 + 16319
555,n= 13751 + 16249
556,n= 13807 + 16193
557,n= 13859 + 16141
558,n= 13873 + 16127
559,n= 13903 + 16097
560,n= 13913 + 16087
561,n= 13931 + 16069
562,n= 13933 + 16067
563,n= 13967 + 16033
564,n= 13999 + 16001
565,n= 14009 + 15991
566,n= 14029 + 15971
567,n= 14081 + 15919
568,n= 14087 + 15913
569,n= 14177 + 15823
570,n= 14197 + 15803
571,n= 14251 + 15749
572,n= 14321 + 15679
573,n= 14419 + 15581
574,n= 14431 + 15569
575,n= 14449 + 15551
576,n= 14489 + 15511
577,n= 14503 + 15497
578,n= 14533 + 15467
579,n= 14549 + 15451
580,n= 14557 + 15443
581,n= 14561 + 15439
582,n= 14627 + 15373
583,n= 14639 + 15361
584,n= 14669 + 15331
585,n= 14713 + 15287
586,n= 14723 + 15277
587,n= 14731 + 15269
588,n= 14737 + 15263
589,n= 14741 + 15259
590,n= 14759 + 15241
591,n= 14767 + 15233
592,n= 14783 + 15217
593,n= 14813 + 15187
594,n= 14827 + 15173
595,n= 14851 + 15149
596,n= 14869 + 15131
597,n= 14879 + 15121
598,n= 14923 + 15077
599,n= 14939 + 15061
600,n= 14947 + 15053
601,n= 14969 + 15031
602,n= 14983 + 15017
That is all!!!

yangchuanju · 发表于 2022-8-23 19:20

n(is a even number)=30002 n(is a even number)=30004
1,n= 13 + 29989 1,n= 83 + 29921
2,n= 19 + 29983 2,n= 131 + 29873
3,n= 43 + 29959 3,n= 137 + 29867
4,n= 139 + 29863 4,n= 167 + 29837
5,n= 151 + 29851 5,n= 251 + 29753
6,n= 199 + 29803 6,n= 263 + 29741
7,n= 241 + 29761 7,n= 281 + 29723
8,n= 331 + 29671 8,n= 431 + 29573
9,n= 373 + 29629 9,n= 467 + 29537
10,n= 421 + 29581 10,n= 503 + 29501
11,n= 433 + 29569 11,n= 521 + 29483
12,n= 601 + 29401 12,n= 593 + 29411
13,n= 613 + 29389 13,n= 617 + 29387
14,n= 619 + 29383 14,n= 641 + 29363
15,n= 691 + 29311 15,n= 677 + 29327
16,n= 733 + 29269 16,n= 701 + 29303
17,n= 751 + 29251 17,n= 761 + 29243
18,n= 811 + 29191 18,n= 773 + 29231
19,n= 823 + 29179 19,n= 797 + 29207
20,n= 829 + 29173 20,n= 857 + 29147
21,n= 1069 + 28933 21,n= 881 + 29123
22,n= 1093 + 28909 22,n= 941 + 29063
23,n= 1123 + 28879 23,n= 971 + 29033
24,n= 1213 + 28789 24,n= 977 + 29027
25,n= 1231 + 28771 25,n= 983 + 29021
26,n= 1249 + 28753 26,n= 1103 + 28901
27,n= 1279 + 28723 27,n= 1187 + 28817
28,n= 1291 + 28711 28,n= 1301 + 28703
29,n= 1381 + 28621 29,n= 1307 + 28697
30,n= 1399 + 28603 30,n= 1361 + 28643
31,n= 1423 + 28579 31,n= 1373 + 28631
32,n= 1429 + 28573 32,n= 1433 + 28571
33,n= 1453 + 28549 33,n= 1487 + 28517
34,n= 1489 + 28513 34,n= 1511 + 28493
35,n= 1609 + 28393 35,n= 1571 + 28433
36,n= 1693 + 28309 36,n= 1601 + 28403
37,n= 1723 + 28279 37,n= 1697 + 28307
38,n= 1783 + 28219 38,n= 1721 + 28283
39,n= 1801 + 28201 39,n= 1823 + 28181
40,n= 1879 + 28123 40,n= 1907 + 28097
41,n= 1933 + 28069 41,n= 1973 + 28031
42,n= 1951 + 28051 42,n= 2003 + 28001
43,n= 2083 + 27919 43,n= 2063 + 27941
44,n= 2179 + 27823 44,n= 2087 + 27917
45,n= 2203 + 27799 45,n= 2111 + 27893
46,n= 2239 + 27763 46,n= 2153 + 27851
47,n= 2251 + 27751 47,n= 2213 + 27791
48,n= 2269 + 27733 48,n= 2237 + 27767
49,n= 2311 + 27691 49,n= 2267 + 27737
50,n= 2371 + 27631 50,n= 2351 + 27653
51,n= 2473 + 27529 51,n= 2357 + 27647
52,n= 2521 + 27481 52,n= 2393 + 27611
53,n= 2593 + 27409 53,n= 2423 + 27581
54,n= 2719 + 27283 54,n= 2477 + 27527
55,n= 2731 + 27271 55,n= 2861 + 27143
56,n= 2749 + 27253 56,n= 2897 + 27107
57,n= 2791 + 27211 57,n= 2927 + 27077
58,n= 2971 + 27031 58,n= 3011 + 26993
59,n= 3049 + 26953 59,n= 3023 + 26981
60,n= 3109 + 26893 60,n= 3083 + 26921
61,n= 3121 + 26881 61,n= 3191 + 26813
62,n= 3163 + 26839 62,n= 3203 + 26801
63,n= 3169 + 26833 63,n= 3221 + 26783
64,n= 3181 + 26821 64,n= 3323 + 26681
65,n= 3271 + 26731 65,n= 3371 + 26633
66,n= 3301 + 26701 66,n= 3407 + 26597
67,n= 3319 + 26683 67,n= 3413 + 26591
68,n= 3361 + 26641 68,n= 3491 + 26513
69,n= 3463 + 26539 69,n= 3581 + 26423
70,n= 3571 + 26431 70,n= 3617 + 26387
71,n= 3631 + 26371 71,n= 3767 + 26237
72,n= 3709 + 26293 72,n= 3821 + 26183
73,n= 3739 + 26263 73,n= 3833 + 26171
74,n= 3793 + 26209 74,n= 3851 + 26153
75,n= 3889 + 26113 75,n= 3863 + 26141
76,n= 3919 + 26083 76,n= 4001 + 26003
77,n= 4003 + 25999 77,n= 4007 + 25997
78,n= 4021 + 25981 78,n= 4073 + 25931
79,n= 4051 + 25951 79,n= 4091 + 25913
80,n= 4099 + 25903 80,n= 4157 + 25847
81,n= 4129 + 25873 81,n= 4211 + 25793
82,n= 4153 + 25849 82,n= 4241 + 25763
83,n= 4201 + 25801 83,n= 4271 + 25733
84,n= 4231 + 25771 84,n= 4337 + 25667
85,n= 4243 + 25759 85,n= 4421 + 25583
86,n= 4261 + 25741 86,n= 4463 + 25541
87,n= 4363 + 25639 87,n= 4481 + 25523
88,n= 4423 + 25579 88,n= 4547 + 25457
89,n= 4441 + 25561 89,n= 4637 + 25367
90,n= 4549 + 25453 90,n= 4703 + 25301
91,n= 4591 + 25411 91,n= 4751 + 25253
92,n= 4663 + 25339 92,n= 4877 + 25127
93,n= 4759 + 25243 93,n= 4931 + 25073
94,n= 4783 + 25219 94,n= 4967 + 25037
95,n= 4813 + 25189 95,n= 4973 + 25031
96,n= 4831 + 25171 96,n= 5051 + 24953
97,n= 4969 + 25033 97,n= 5081 + 24923
98,n= 5023 + 24979 98,n= 5087 + 24917
99,n= 5059 + 24943 99,n= 5153 + 24851
100,n= 5113 + 24889 100,n= 5237 + 24767
101,n= 5209 + 24793 101,n= 5333 + 24671
102,n= 5431 + 24571 102,n= 5381 + 24623
103,n= 5503 + 24499 103,n= 5393 + 24611
104,n= 5521 + 24481 104,n= 5471 + 24533
105,n= 5563 + 24439 105,n= 5477 + 24527
106,n= 5581 + 24421 106,n= 5531 + 24473
107,n= 5623 + 24379 107,n= 5591 + 24413
108,n= 5779 + 24223 108,n= 5801 + 24203
109,n= 5821 + 24181 109,n= 5807 + 24197
110,n= 5851 + 24151 110,n= 5867 + 24137
111,n= 5869 + 24133 111,n= 5897 + 24107
112,n= 5881 + 24121 112,n= 5927 + 24077
113,n= 5953 + 24049 113,n= 5981 + 24023
114,n= 6073 + 23929 114,n= 6011 + 23993
115,n= 6091 + 23911 115,n= 6047 + 23957
116,n= 6133 + 23869 116,n= 6131 + 23873
117,n= 6229 + 23773 117,n= 6173 + 23831
118,n= 6373 + 23629 118,n= 6203 + 23801
119,n= 6379 + 23623 119,n= 6257 + 23747
120,n= 6421 + 23581 120,n= 6263 + 23741
121,n= 6529 + 23473 121,n= 6317 + 23687
122,n= 6571 + 23431 122,n= 6473 + 23531
123,n= 6691 + 23311 123,n= 6803 + 23201
124,n= 6709 + 23293 124,n= 6917 + 23087
125,n= 6733 + 23269 125,n= 6947 + 23057
126,n= 6793 + 23209 126,n= 6977 + 23027
127,n= 6829 + 23173 127,n= 6983 + 23021
128,n= 6871 + 23131 128,n= 7001 + 23003
129,n= 6949 + 23053 129,n= 7043 + 22961
130,n= 6961 + 23041 130,n= 7103 + 22901
131,n= 6991 + 23011 131,n= 7127 + 22877
132,n= 7039 + 22963 132,n= 7151 + 22853
133,n= 7219 + 22783 133,n= 7187 + 22817
134,n= 7333 + 22669 134,n= 7193 + 22811
135,n= 7351 + 22651 135,n= 7253 + 22751
136,n= 7459 + 22543 136,n= 7283 + 22721
137,n= 7549 + 22453 137,n= 7307 + 22697
138,n= 7561 + 22441 138,n= 7433 + 22571
139,n= 7621 + 22381 139,n= 7523 + 22481
140,n= 7699 + 22303 140,n= 7607 + 22397
141,n= 7723 + 22279 141,n= 7727 + 22277
142,n= 7873 + 22129 142,n= 7757 + 22247
143,n= 7879 + 22123 143,n= 7937 + 22067
144,n= 7951 + 22051 144,n= 8093 + 21911
145,n= 7963 + 22039 145,n= 8111 + 21893
146,n= 8011 + 21991 146,n= 8123 + 21881
147,n= 8059 + 21943 147,n= 8231 + 21773
148,n= 8161 + 21841 148,n= 8237 + 21767
149,n= 8263 + 21739 149,n= 8291 + 21713
150,n= 8329 + 21673 150,n= 8387 + 21617
151,n= 8353 + 21649 151,n= 8447 + 21557
152,n= 8389 + 21613 152,n= 8501 + 21503
153,n= 8443 + 21559 153,n= 8513 + 21491
154,n= 8521 + 21481 154,n= 8537 + 21467
155,n= 8623 + 21379 155,n= 8597 + 21407
156,n= 8689 + 21313 156,n= 8627 + 21377
157,n= 8719 + 21283 157,n= 8663 + 21341
158,n= 8839 + 21163 158,n= 8681 + 21323
159,n= 8863 + 21139 159,n= 8783 + 21221
160,n= 8941 + 21061 160,n= 8861 + 21143
161,n= 8971 + 21031 161,n= 9041 + 20963
162,n= 9001 + 21001 162,n= 9257 + 20747
163,n= 9043 + 20959 163,n= 9311 + 20693
164,n= 9103 + 20899 164,n= 9323 + 20681
165,n= 9283 + 20719 165,n= 9341 + 20663
166,n= 9391 + 20611 166,n= 9377 + 20627
167,n= 9403 + 20599 167,n= 9461 + 20543
168,n= 9439 + 20563 168,n= 9497 + 20507
169,n= 9613 + 20389 169,n= 9521 + 20483
170,n= 9643 + 20359 170,n= 9677 + 20327
171,n= 9649 + 20353 171,n= 9743 + 20261
172,n= 9661 + 20341 172,n= 9803 + 20201
173,n= 9679 + 20323 173,n= 9857 + 20147
174,n= 9733 + 20269 174,n= 9887 + 20117
175,n= 9769 + 20233 175,n= 9941 + 20063
176,n= 9829 + 20173 176,n= 10007 + 19997
177,n= 9859 + 20143 177,n= 10067 + 19937
178,n= 9901 + 20101 178,n= 10091 + 19913
179,n= 9931 + 20071 179,n= 10151 + 19853
180,n= 9973 + 20029 180,n= 10163 + 19841
181,n= 10009 + 19993 181,n= 10211 + 19793
182,n= 10039 + 19963 182,n= 10253 + 19751
183,n= 10111 + 19891 183,n= 10343 + 19661
184,n= 10141 + 19861 184,n= 10427 + 19577
185,n= 10159 + 19843 185,n= 10433 + 19571
186,n= 10243 + 19759 186,n= 10463 + 19541
187,n= 10303 + 19699 187,n= 10601 + 19403
188,n= 10321 + 19681 188,n= 10613 + 19391
189,n= 10399 + 19603 189,n= 10631 + 19373
190,n= 10459 + 19543 190,n= 10847 + 19157
191,n= 10501 + 19501 191,n= 10883 + 19121
192,n= 10513 + 19489 192,n= 10973 + 19031
193,n= 10531 + 19471 193,n= 11003 + 19001
194,n= 10729 + 19273 194,n= 11057 + 18947
195,n= 10753 + 19249 195,n= 11087 + 18917
196,n= 10771 + 19231 196,n= 11093 + 18911
197,n= 10789 + 19213 197,n= 11261 + 18743
198,n= 10861 + 19141 198,n= 11273 + 18731
199,n= 10993 + 19009 199,n= 11411 + 18593
200,n= 11083 + 18919 200,n= 11483 + 18521
201,n= 11311 + 18691 201,n= 11633 + 18371
202,n= 11551 + 18451 202,n= 11717 + 18287
203,n= 11689 + 18313 203,n= 11813 + 18191
204,n= 11701 + 18301 204,n= 11927 + 18077
205,n= 11779 + 18223 205,n= 12101 + 17903
206,n= 11821 + 18181 206,n= 12113 + 17891
207,n= 11833 + 18169 207,n= 12197 + 17807
208,n= 11941 + 18061 208,n= 12323 + 17681
209,n= 11953 + 18049 209,n= 12347 + 17657
210,n= 11959 + 18043 210,n= 12377 + 17627
211,n= 12043 + 17959 211,n= 12527 + 17477
212,n= 12073 + 17929 212,n= 12611 + 17393
213,n= 12163 + 17839 213,n= 12653 + 17351
214,n= 12211 + 17791 214,n= 12671 + 17333
215,n= 12241 + 17761 215,n= 12713 + 17291
216,n= 12253 + 17749 216,n= 12821 + 17183
217,n= 12289 + 17713 217,n= 12911 + 17093
218,n= 12343 + 17659 218,n= 12983 + 17021
219,n= 12379 + 17623 219,n= 13103 + 16901
220,n= 12421 + 17581 220,n= 13121 + 16883
221,n= 12433 + 17569 221,n= 13217 + 16787
222,n= 12451 + 17551 222,n= 13241 + 16763
223,n= 12511 + 17491 223,n= 13313 + 16691
224,n= 12553 + 17449 224,n= 13331 + 16673
225,n= 12583 + 17419 225,n= 13397 + 16607
226,n= 12601 + 17401 226,n= 13451 + 16553
227,n= 12613 + 17389 227,n= 13457 + 16547
228,n= 12619 + 17383 228,n= 13523 + 16481
229,n= 12703 + 17299 229,n= 13553 + 16451
230,n= 12763 + 17239 230,n= 13577 + 16427
231,n= 12799 + 17203 231,n= 13751 + 16253
232,n= 12973 + 17029 232,n= 13781 + 16223
233,n= 13009 + 16993 233,n= 13877 + 16127
234,n= 13099 + 16903 234,n= 13901 + 16103
235,n= 13159 + 16843 235,n= 13907 + 16097
236,n= 13171 + 16831 236,n= 13913 + 16091
237,n= 13309 + 16693 237,n= 13931 + 16073
238,n= 13399 + 16603 238,n= 13997 + 16007
239,n= 13441 + 16561 239,n= 14033 + 15971
240,n= 13591 + 16411 240,n= 14081 + 15923
241,n= 13633 + 16369 241,n= 14207 + 15797
242,n= 13669 + 16333 242,n= 14243 + 15761
243,n= 13729 + 16273 243,n= 14321 + 15683
244,n= 13933 + 16069 244,n= 14423 + 15581
245,n= 14011 + 15991 245,n= 14537 + 15467
246,n= 14029 + 15973 246,n= 14543 + 15461
247,n= 14083 + 15919 247,n= 14561 + 15443
248,n= 14143 + 15859 248,n= 14591 + 15413
249,n= 14323 + 15679 249,n= 14621 + 15383
250,n= 14341 + 15661 250,n= 14627 + 15377
251,n= 14401 + 15601 251,n= 14717 + 15287
252,n= 14419 + 15583 252,n= 14741 + 15263
253,n= 14461 + 15541 253,n= 14771 + 15233
254,n= 14551 + 15451 254,n= 14831 + 15173
255,n= 14563 + 15439 255,n= 14843 + 15161
256,n= 14629 + 15373 256,n= 14867 + 15137
257,n= 14653 + 15349 257,n= 14897 + 15107
258,n= 14683 + 15319 258,n= 14951 + 15053
259,n= 14713 + 15289 That is all!!!
260,n= 14731 + 15271
261,n= 14929 + 15073
That is all!!!

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